A) For the equation

, the slope is

.
Slope-intercept form is y = mx + b, where m is slope and b is the y-intercept. This means that if

, the slope is

.
B) Since this equation is in the same form, you just find what m is equal to.
Since

, that's the slope.
For the solution, set

equal to

, so it would be put together like this:
![y=[tex]- \frac{1}{2}x+3=2x-4\\ -\frac{1}{2}=2x-7\\ 1\frac{1}{2}x=-7\\ x=-4.66667](https://tex.z-dn.net/?f=y%3D%5Btex%5D-%20%5Cfrac%7B1%7D%7B2%7Dx%2B3%3D2x-4%5C%5C%20-%5Cfrac%7B1%7D%7B2%7D%3D2x-7%5C%5C%201%5Cfrac%7B1%7D%7B2%7Dx%3D-7%5C%5C%20x%3D-4.66667)
So your answer is
-4.667.
Answer:
22 centimeters
Step-by-step explanation:
<em>1. See how many centimeters are in a meter:</em>
There is 100 centimeters in one meter
<em>2. Multiply each number by 100 to convert the meters to centimeters </em>
0.98 x 100= 98
0.76 x 100 = 76
<em>3. Subtract to find the difference </em>
98 - 76 = 22
<u>Hence, the blue string is 22 centimeters longer than the yellow string.</u>
<u><em>have great night! :D</em></u>
Here is how I would show the work for this problem
5- (a-4) = 3 (a+2)
5-a+4 = 3*a+3*2
5-a+4 = 3a+6
-a+9 = 3a+6
-a+9+a = 3a+6+a
9 = 4a+6
9-6 = 4a+6-6
3 = 4a
4a = 3
4a/4 = 3/4
a = 3/4
So the solution is the fraction a = 3/4 (in decimal form 0.75)
Let me know if you have any questions or issues with any of the steps shown above. It's a lot to take in so feel free to ask about anything really.
Answer:
B. .002, .03, .6, .9
Step-by-step explanation:
.002 is .002
.03 is .030
.6 is .60
And, .9 is .90
So in conclusion, least to greatest would be .002 , .030 , .60 , then last but not least .90. The option that best matches this is B!